Real infinite compression

0.Forget pigeonhole principle. Acquire pigeons.
1.Gather 256 different hashing algorithms with low collision rates.
2.hash 256 hashes of a file. save this+length to a file.
3.To decompress,generate all files of this size(with quantum computing it should be easier, imho) and check their 256 hashes.
4.if all hashes match, you got the original.
5.Since the chance of all 256 different algorithms having a collision is close to zero, the file must be the original.
6.Infinite pigeons. http://www.youtube.com/watch?v=n84sZIN4lv8

5.Since the chance of all 256 different algorithms having a collision is close to zero
How many algorithms do you think you'd need for that chance to be negative?  I'm thinking about 600 or so.